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nata0808 [166]
3 years ago
10

A box in the shape of a rectangular prism has a volume of 96 cubic feet. The box has a length of (x+8) feet, a width of x feet,

and a height of (x-2) feet. Find the dimensions of the box.
Mathematics
1 answer:
anygoal [31]3 years ago
3 0
96=(x+8)*x*(x-2)=x^3 +6x^2 -16x. Solve to get x= -6,-4,4. Negative distance doesn't make sense, so x=+4. Therefore, length is (x+8)=(4+8)= 12, width=x=4, and height=(x-2)=(4-2)=2.
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If 5 bags cost 255.35 how much would 2 bags cost
rewona [7]

255.35 \div 5 = 51.07

51.07 \times 2 = 102.14

8 0
3 years ago
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Find each key feature of the function shown in the graph. Write the range and domain in interval notation, and assume all values
gayaneshka [121]

The domain of the graph is  -8 while the range of the graph is -4\leq x.

  • The domain of the graph is input values of "x" for which the function exists while the range is the output values "y" for which the function exists.

For the graph, the domain will be the values of the graph along the x-axis.

  • Domain = -8 (Note that -8 is not included)

  • For the range, the interval is given as: -4\leq x. Note that the value of 4 is not included since it is opened.

Learn more on domain and range here: brainly.com/question/1942755

3 0
2 years ago
P(2,-8), Q(8,-8), R(8, -2), S(2,-2)<br> 180° rotation<br> I need help quickly
kompoz [17]

Answer:

P(-2,8)   Q(-8,8)   R(-8,2)  S(-2,2)

Step-by-step explanation: 180 degree rotation rule = (x,y) ---- (-x,-y)

ex : point B (-2, 7) will be B' (2, -7)

6 0
3 years ago
Rosa can run 4 miles in 56 minutes how many miles does Rosa run if she runs for 42 miles
agasfer [191]

4miles ..............56 minutes

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8 0
3 years ago
The graph below describes the journey of a train between two cities
UkoKoshka [18]

Answer:

Step-by-step explanation:

To find : Acceleration in first 15 min . Distance between two cities  Average speed of journey

Solution:

Each horizontal block is 1/8 hr = 7.5 min

Each vertical block is 10 km/hr

Time                    Velocity  km/hr

0 Min  ( 0 hr)            0

15 Min (1/4 hr)           50

45 Min (3/4 hr)         50

60 MIn  ( 1 hr)            100

90 Min  ( 3/2 hr)        100

120 Min ( 2hr)            0

Acceleration in first 15 min  (1/4 hr)  =  (50 - 0)/(1/4 - 0)  = 50/(1/4)

= 200  km/h²

Distance between two cities

= (1/2)(0 + 50)(1/4 - 0)  + 50 * (3/4 - 1/4)  + (1/2)(50 + 100)(1 - 3/4)  + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)

=  25/4  + 25 + 75/4   + 50 + 25

= 125

Distance between two cities = 125 km

Average Speed of journey = 125/2  = 62.5  km/hr

Acceleration in first 15 min = 200  km/h²

Distance between two cities = 125 km

Average Speed of journey =  62.5  km/hr

Hope this helps..

3 0
3 years ago
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